On the approximability of Dodgson and Young elections
نویسندگان
چکیده
منابع مشابه
On the approximability of Dodgson and Young elections
The voting rules proposed by Dodgson and Young are both designed to find the alternative closest to being a Condorcet winner, according to two different notions of proximity; the score of a given alternative is known to be hard to compute under either rule. In this paper, we put forward two algorithms for approximating the Dodgson score: an LP-based randomized rounding algorithm and a determini...
متن کاملApproximability and Inapproximability of Dodgson and Young Elections
The voting rules proposed by Dodgson and Young are both designed to find the candidate closest to being a Condorcet winner, according to two different notions of proximity; the score of a given candidate is known to be hard to compute under both rules. In this paper, we put forward an LP-based randomized rounding algorithm which yields an O(logm) approximation ratio for the Dodgson score, where...
متن کاملThe Hebrew University of Jerusalem Approximability and Inapproximability of Dodgson and Young Elections
The voting rules proposed by Dodgson and Young are both designed to find the candidate closest to being a Condorcet winner, according to two different notions of proximity; the score of a given candidate is known to be hard to compute under both rules. In this paper, we put forward an LP-based randomized rounding algorithm which yields an O(log m) approximation ratio for the Dodgson score, wher...
متن کاملParameterized Computational Complexity of Dodgson and Young Elections
We show that, other than for standard complexity theory with known NP-completeness results, the computational complexity of the Dodgson and Young election systems is completely different from a parameterized complexity point of view. That is, on the one hand, we present an efficient fixed-parameter algorithm for determining a Condorcet winner in Dodgson elections by a minimum number of switches...
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In this paper, we set up a framework to study approximation of manipulation, control, and bribery in elections. We show existence of approximation algorithms (even fully polynomial-time approximation schemes) as well as obtain inapproximability results. In particular, we show that a large subclass of scoring protocols admits fully polynomial-time approximation schemes for the coalitional weight...
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ژورنال
عنوان ژورنال: Artificial Intelligence
سال: 2012
ISSN: 0004-3702
DOI: 10.1016/j.artint.2012.04.004